Answer:
Step-by-step explanation:
<u>We know that:</u>
- Angles ∠A and ∠B are 28° and 37°.
<u>We don't know:</u>
<u>So, we do this:</u>
- Add the 180°
- Solve the equation 180 - 28 - 37
<u>Solve:</u>
Angle ∠C is 115°.
Answer:
The first one, since that is the only one showing in the screen,
and that is actually correct, since there are no intersecting points.
Answer:
The mean would be 14.4 hours.
Step-by-step explanation:
In order to find the mean, or average, of the numbers, you would add all the numbers together.
17 + 15 +14 + 14 + 12 which equals 72
Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.
72/5 = 14.4
Answer:
x^2 + y^2 + 16x + 6y + 9 = 0
Step-by-step explanation:
Using the formula for equation of a circle
(x - a)^2 + (y + b)^2 = r^2
(a, b) - the center
r - radius of the circle
Inserting the values given in the question
(-8,3) and r = 8
a - -8
b - 3
r - 8
[ x -(-8)]^2 + (y+3)^2 = 8^2
(x + 8)^2 + (y + 3)^2 = 8^2
Solving the brackets
( x + 8)(x + 8) + (y +3)(y+3) = 64
x^2 + 16x + 64 + y^2 + 6y + 9 = 64
Rearranging algebrally,.
x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0
Bringing in 64, thereby changing the + sign to -
Therefore, the equation of the circle =
x^2 + y^2 + 16x + 6y + 9 = 0